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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1282–1293 (Mi zvmmf4566)  

This article is cited in 10 scientific papers (total in 10 papers)

Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion

N. Ya. Moiseev, I. Yu. Silant'eva

All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770, Russia
References:
Abstract: An approach to the construction of second-and higher order accurate difference schemes in time and space is described for solving the linear one-and multidimensional advection equations with constant coefficients by the Godunov method with antidiffusion. The differential approximations for schemes of up to the fifth order are constructed and written. For multidimensional advection equations with constant coefficients, it is shown that Godunov schemes with splitting over spatial variables are preferable, since they have a smaller truncation error than schemes without splitting. The high resolution and efficiency of the difference schemes are demonstrated using test computations.
Key words: advection equation, Godunov method, antidiffusion, high-order accurate difference schemes.
Received: 19.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 7, Pages 1210–1220
DOI: https://doi.org/10.1134/S0965542508070129
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. Ya. Moiseev, I. Yu. Silant'eva, “Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1282–1293; Comput. Math. Math. Phys., 48:7 (2008), 1210–1220
Citation in format AMSBIB
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  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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